What is the electric potential energy of an electron at the negative end of the cable, relative to the positive end of the cable
1 answer:
Answer:
Electric potential energy at the negative terminal:
Explanation:
When a particle with charge travels across a potential difference
, then its change in electric potential energy is
In this problem, we know that:
The particle is an electron, so its charge is
We also know that the positive terminal is at potential
While the negative terminal is at potential
Therefore, the potential difference (final minus initial) is
So, the change in potential energy of the electron is
This means that the electron when it is at the negative terminal has of energy more than when it is at the positive terminal.
Since the potential at the positive terminal is 0, this means that the electric potential energy of the electron at the negative end is
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It will take 267 milliseconds for a sample of radon-218 to decay from 99 grams to 0. 50 grams.
We know that half life of a first order reaction is given by:
where k = rate of reaction
Given half life = 35 milliseconds
So from this we get k = 0.0198
Now we know that rate of first order reaction is given by:
where t= time
R'= initial amount = 99 g
R= final amount= 0.50 g
k= rate of reaction = 0.0198
Putting values of these in above equation we get t=267 milliseconds.
i.e. It will take 267 milliseconds for a sample of radon-218 to decay from 99 grams to 0. 50 grams.
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The two objects after (b) are at the same potential
Explanation:
When the two conducting objects are connected together, charge will be transferred from one object ot another until the two objects reach the same potential.
In fact, if there is still some residual potential difference between the two objects, there would still be a net electric field pushing the charges from one object to the other. Therefore, equilibrium is reached only when the net electric field between the two objects becomes zero, and this occurs only when the potential difference is zero, so when the two objects are at the same potential.
At the equilibrium, however, the charge on the two objects can be different. In fact, the capacity of an object is given by
where Q is the charge stored by an object and V is its potential. It can be re-arranged as
The two objects are at same potential, V, however their capacity C can be different since the two objects are not identical: therefore, their stored charge can be different.
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